Article

To the theory of dimensional quantization in crystals in the Kane approximation

Rustam Yavkachovich RasulovDepartment of Physics, Fergana State University, Murabbiylar St., 19, Fergana, 150100, UzbekistanIqboljon Mamirjonovich EshboltayevDepartment of Physics, Kokand State Pedagogical Institute, Turon St., 23, Fergana, 150700, UzbekistanMavzurbek Kh. KuchkarovDepartment of Physics, Kokand State Pedagogical Institute, Turon St., 23, Fergana, 150700, UzbekistanKamolakhon K. UrinovaDepartment of Physics, Kokand State Pedagogical Institute, Turon St., 23, Fergana, 150700, Uzbekistan

Journal of Physics Conference Seriesjournal2024en

ABI

Abstract

Abstract The microscopic mechanism of size quantization of the conduction band and valence band of semiconductors of cubic and tetrahedral symmetry has been theoretically studied in the Kane approximation. It is shown that the matrix Schrödinger equation obtained on the basis of the Kane model cannot be solved analytically for a potential well of an arbitrary profile. Therefore, expressions for the energy spectrum are obtained depending on the two-dimensional wave vector directed along the interface of the heterostructure for various cases that differ in the range of current carrier energy values.

Topics

Photonic and Optical Devices Mechanical and Optical Resonators Topological Materials and Phenomena

Identifiers

DOI: 10.1088/1742-6596/2697/1/012003

Citations and references

Cited by 3 6 references

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